If x = 555, y = 554, z = 556, then the value of x2 + y2 + z2 - xy-yz-zx?
x^2 + y^2 + z^2 - xy-yz-zx = 1/2 {(x-y)^2+(y-z)^2+(z-x)^2 } = 1/2 {(555-554)^2+(554-556)^2+(556-555)^2 } = 1/2 {(1)^2+(-2)^2+(1)^2 } = 1/2 (1 + 4 + 1) = 1/2 × 6 = 3 Alternate method: x^2 + y^2 + z^2 - xy-yz-zx = x(x –y) +y (y – z ) + z (z – x ) = 555(555-554) +554(554-556)+556(556-555) = 555(1)+554(-2)+556(1) =555-554-554+556= 1 +2 = 3
Which of the following is the third sentence of the passage?
Which should be the first sentence after rearrangement?
Which of the following is the fourth sentence of the passage?
1. In 1900, at the age of 21, Albert Einstein was a university graduate and unemployed.
P. He finally secured a job in 1902 as a technical expert...
1. Sahil ignored my reassurances.
P. He wanted me to remember him not through the spoken recitatives of memory and friendship, but through the...
Which of the following is the second sentence of the passage?
Which should be the second sentence after rearrangement?
Browsing the
P- bibliophile’s fantasy
Q- towering columns
R- of books is a
In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
A short story with a moral.
Which of the following is the fourth sentence after rearrangement?
